A plane is perpendicular to [x, y, z] = [3, -30, 24] + s[2, 4, -2] and contains the point P(-1,4,-2). Determine if the point A(1, -2, 7) is also on this plane.

Q: The plane through the points (-4,-8,-1), (8,3,5), (7,8,6) has equation Ax + By + Cz= D. If A = - 19…

A: Since plane passes through the given points therefore

Q: Let A be the point with coordinates (3, -7, -2), let B be the point with coordinates (1, -9, -4),…

A:

Q: Determine the value of K such that the points A(4,-2,6), B(0,1,0), C(1,0,-5) and D(1,K,-2) lie on…

A: Given A(4,-2,6), B(0,1,0), C(1,0,-5) and D(1,k,-2) AB→=(0-4,(1+2),(0-6))=(-4,3,-6)…

Q: Prove that three points P(5,-4), Q(-3,8) and R(1,2) on the rectangular coordinate plane are…

A:

Q: Determine the angle between the lines AB and AC delimited by the points A(4,3,2), B(6,1,-2),…

A: Step 1:  Step 2: Step 3: Step 4:

Q: Find k so that the points P(0, 1, 1), Q(-1, 1, 3), and R(-3, 1, k) are on the same line (collinear).

A: